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Integral of (2x-1)/((x-2)(2x-3)*(x-1))

\int\frac{2x-1}{\left(x-1\right)\left(x-2\right)\left(2x-3\right)}dx

Step by step solution

Problem

$\int\frac{2x-1}{\left(x-1\right)\left(x-2\right)\left(2x-3\right)}dx$

Show full step-by-step solution

Answer

$-\frac{6}{7}\ln\left|2x-3\right|-\frac{3}{7}\ln\left|x-2\right|+\ln\left|x-1\right|+C_0$

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Problem Stats

Main topic:

Integrals by partial fraction expansion

Used formulas:

7

Time to solve it:

0.53 seconds

Views:

233